Stochastic Evaluation of Seismic Structural Performance
Publication: Journal of Structural Engineering
Volume 111, Issue 6
Abstract
A method is presented for determining the probabilities of a structure sustaining various levels of damage due to seismic activity during its lifetime. Uncertainties in the loading and the structural response analysis are considered. The method is based on a nonlinear random vibration analysis and an analytical technique for evaluating the sensitivity of the response to various structural and load parameters. Recently reported data are used to update the parameter values commonly used in the random process representation of earthquakes. The method is illustrated by analyses of a four‐story steel frame building and a seven‐story reinforced concrete building.
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References
1.
Amin, M., and Ang, A. H.‐S., “Nonstationary Stochastic Model of Earthquake Motions,” Journal of the Engineering Mechanics Division, ASCE, Vol. 94, No. EM2, Apr., 1968, pp. 559–583.
2.
Anagnostopoulos, S. A., “Non‐Linear Dynamic Response of Building Structures Subjected to Earthquakes,” Publication No. R72‐54, Department of Civil Engineering, MIT, Cambridge, Mass., Sept., 1972.
3.
Baber, T. T., and Wen, Y.‐K., “Stochastic Equivalent Linearization for Hysteretic, Degrading, Multistory Structures,” University of Illinois, Civil Engineering Studies, Structural Research Series No. 471, Apr., 1980.
4.
Baber, T. T., and Wen, Y.‐K., “Random Vibration of Hysteretic Degrading Systems,” Journal of the Engineering Mechanics Division, ASCE, Vol. 107, No. EM6, Dec., 1981, pp. 1069–1087.
5.
Bartels, R. H., and Stewart, G. W., “Solution of the Matrix Equation ” Algorithm 432 in Communications of the ACM, Vol. 15, No. 9, Sept., 1972.
6.
Clough, R. W., “Effect of Stiffness Degradation on Earthquake Ductility Requirements,” Technical Report No. 66‐16, Structures and Materials Research, Department of Civil Engineering, University of California, Berkeley, Calif., Oct., 1966.
7.
Cornell, C. A., and Merz, H. A., “Seismic Risk Analysis of Boston,” Journal of the Structural Division, ASCE, Vol. 101, No. ST10, Oct., 1975, pp. 2027–2043.
8.
Der Kiureghian, A., and Ang, A. H.‐S., “A Fault‐Rupture Model for Seismic Risk Analysis,” Bulletin of the Seismological Society of America, Vol. 67, No. 4, Aug., 1977, pp. 1173–1194.
9.
Gulkan, P., and Sozen, M. A., “Response and Energy‐Dissipation of Reinforced Concrete Frames Subjected to Strong Base Motions,” Structural Research Series No. 377, University of Illinois, Civil Engineering Studies, May, 1971.
10.
Kiremidjian, A. S., and Shah, H. C., “Seismic Hazard Mapping of California,” Report No. 21, John A. Blume Earthquake Engineering Center, Stanford University, Stanford, Calif., Nov., 1975.
11.
Lai, P. S.‐S., “Overall Safety Assessment of Multistory Steel Buildings Subjected to Earthquake Loads,” Publication No. R80‐26, Department of Civil Engineering, MIT, Cambridge, Mass., June, 1980.
12.
Lai, P. S.‐S., “Statistical Characterization of Strong Ground Motions Using Power Spectral Density Functions,” Bulletin of the Seismological Society of America, Vol. 72, No. 1, Feb., 1982, pp. 259–274.
13.
Liu, S. C., “Evolutionary Power Spectral Density of Strong‐Motion Earthquakes,” Bulletin of the Seismological Society of America, Vol. 60, No. 3, June, 1970, pp. 891–900.
14.
Moayyad, P., and Mohraz, B., “A Study of Power Spectral Density of Earthquake Accelerograms,” Research Report, Civil and Mechanical Engineering Department, Southern Methodist University, June, 1982.
15.
Pires, J. E. A., Wen, Y.‐K., and Ang, A. H.‐S., “Stochastic Analysis of Seismic Safety Against Liquefaction,” Structural Research Series No. 504, University of Illinois, Civil Engineering Studies, Apr., 1983.
16.
San Fernando, California Earthquake of February 9, 1971, U.S. Department of Commerce, Washington, D.C., 1973.
17.
Scawthorn, C., Iemura, H., and Yamada, Y., “Seismic Damage Estimation for Low‐ and Mid‐Rise Buildings in Japan,” Earthquake Engineering and Structural Dynamics, Vol. 9, No. 2, Mar., 1981, pp. 93–115.
18.
Sues, R. H., Mau, S. T., and Wen, Y.‐K., “A Method for Estimation of Hysteretic Force Parameters,” Proceedings of the 4th Engineering Mechanics Division Specialty Conference, Purdue University, May, 1983.
19.
Sues, R. H., Wen, Y.‐K., and Ang, A. H.‐S., “Stochastic Seismic Performance Evaluation of Buildings,” Structural Research Series No. 506, University of Illinois, Civil Engineering Studies, May, 1983.
20.
Taleb‐Agha, G., “Seismic Risk Analysis of Lifeline Networks,” Bulletin of the Seismological Society of America, Vol. 67, No. 6, Dec., 1977, pp. 1625–1645.
21.
Vanmarcke, E. H., and Lai, P. S.‐S., “Strong‐Motion Duration and RMS Amplitude of Earthquake Records,” Bulletin of the Seismological Society of America, Vol. 70, No. 4, Aug., 1980, pp. 1293–1307.
22.
Wen, Y.‐K., “Method for Random Vibration of Hysteretic Systems,” Journal of the Engineering Mechanics Division, ASCE, Vol. 102, No. EM2, Apr., 1976, pp. 249–263.
23.
Yang, J. N., and Liu, S. C., “Distribution of Maximum and Statistical Response Spectra,” Journal of the Engineering Mechanics Division, ASCE, Vol. 107, No. EM6, Dec., 1981, pp. 1089–1102.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 111 • Issue 6 • June 1985
Pages: 1204 - 1218
Copyright
Copyright © 1985 ASCE.
History
Published online: Jun 1, 1985
Published in print: Jun 1985
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